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MEAP Preparation - Grade 7 Mathematics
1.10 Addition of Mixed Numbers

Method 1:
  1. Add the integer parts
  2. Add the factional parts
  3. Add the two parts together
NOTE: The operation in between the integer and fractional part in a mixed number is addition, not multiplication!
Example, 3 1/2 = 3 + 1/2 and not 3 x 1/2

Examples:

  1. 3 1/4 + 5 2/4 = ?
    Add the integer parts 3 + 5 = 8 and add the fractional part 1/4 + 2/4 = 3/4
    3 1/4 + 5 2/4 = = 8 3/4

  2. 2 1/3 + 4 1/4 = ?
    Add the integer parts: 2 + 4 = 6
    Add the fractional parts 1/3 + 1/4
    LCD of 3 and 4 = 12
    1/3 + 1/4 = 4/12 + 3/12 = 7/12
    Adding integer and fractional parts, 6 + 7/12 = 6 7/12

Method 2:
  1. Convert both mixed numbers into improper fractions
  2. Perform the addition.
Example:
2 2/3 + 1 1/3 = ?
= 8/3 + 4/3
= 12/3
= 4
Directions: Perform the following mixed number additions. Simplify the fractions in your answer, i.e., convert any improper fractions to mixed numbers.
Q 1: 5 1/5 + 5 1/5 =
Answer:

Q 2: 2 3/5 + 12 1/5 =
Answer:

Q 3: 13 2/4 + 13 2/4 =
Answer:

Q 4: 1 3/4 + 2 1/6 =
Answer:

Q 5: 6 1/2 + 12 1/2 =
Answer:

Q 6: 100 1/10 + 50 7/10 =
Answer:

Q 7: 9 1/2 + 5 2/3 =
Answer:

Q 8: 5 1/3 + 3 2/3 =
Answer:

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Question 10: This question is available to subscribers only!


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